Pith Number

pith:XPPRCVSZ

pith:2026:XPPRCVSZLTR2WHFDKUXXNODO4O

not attested not anchored not stored refs pending

Formal Foundations and Proof-Carrying Certificates for q-ary Covering Codes in Lean 4

Andreas Florath

arxiv:2606.09600 v1 · 2026-06-08 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPPRCVSZLTR2WHFDKUXXNODO4O}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-06-09T02:08:58.135928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbdf1156595ce3ab1ca3552f76b86ee3abdbdc1f79c8ae93a53a82f52da64832

Aliases

arxiv: 2606.09600 · arxiv_version: 2606.09600v1 · doi: 10.48550/arxiv.2606.09600 · pith_short_12: XPPRCVSZLTR2 · pith_short_16: XPPRCVSZLTR2WHFD · pith_short_8: XPPRCVSZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/XPPRCVSZLTR2WHFDKUXXNODO4O \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: bbdf1156595ce3ab1ca3552f76b86ee3abdbdc1f79c8ae93a53a82f52da64832

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8912fb8c4c3d383e826beee20f020fe50162d2222e97f31bf9eba165e6bd7e4",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2026-06-08T15:09:56Z",
    "title_canon_sha256": "7305bdbb5f14d9a1bcd668c232a463e99653e77364c4f5f2540af9c61ca1d751"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09600",
    "kind": "arxiv",
    "version": 1
  }
}